On the generation of periodic discrete structures with identical two-point correlation
M. Fernández, und F. Fritzen. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences476 (2242):
Strategies for the generation of periodic discrete structures with identical two-point correlation—called 2PC-equivalent—are developed. It is shown that starting from a set of 2PC-equivalent root structures, 2PC-equivalent child structures of arbitrary resolution and number of phases (e.g. material phases) can be generated based on phase extension through trivial embeddings, kernel-based extension and phase coalescence. Proofs are provided by means of discrete Fourier transform theory. A Python 3 implementation is offered for reproduction of examples and future applications.